Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240g |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-62400 = -1 · 26 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,0] |
[a1,a2,a3,a4,a6] |
j |
1560896/975 |
j-invariant |
L |
2.1678946246729 |
L(r)(E,1)/r! |
Ω |
2.1678946246729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6240q1 12480cs1 18720bd1 31200ce1 |
Quadratic twists by: -4 8 -3 5 |